Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 855/17,635/7326
Formula to find GCF of Fractions is
GCF = GCF of Numerators/LCM of Denominators
As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators
In the given fractions GCF of Numerators means GCF of 855,635
Greatest Common Factor of Numerators i.e. GCF of 855,635 is 5 .
LCM of Denominators means LCM of 17,7326 as per the given fractions.
LCM of 17,7326 is 124542 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 855,635
5 | 855, 635 |
171, 127 |
∴ So the GCF of the given numbers is 5 = 5
Factors of 855
List of positive integer factors of 855 that divides 855 without a remainder.
1,3,5,9,15,19,45,57,95,171,285,855
Factors of 635
List of positive integer factors of 635 that divides 635 without a remainder.
1,5,127,635
Greatest Common Factor
We found the factors 855,635 . The biggest common factor number is the GCF number.
So the greatest common factor 855,635 is 5.
Lets's calculate LCM of 17,7326
Given numbers has no common factors except 1. So, there LCM is their product i.e 124542
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/124542
Therefore, the GCF of Fractions 855/17,635/7326 is 5/124542
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 17,7326 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(17,7326) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(17,7326) x common factors =1 x 1 = 1
LCM(17,7326) = ( 17 × 7326 ) / 1
LCM(17,7326) = 124542 / 1
LCM(17,7326) = 124542
Here are some samples of GCF of Fractions calculations.
Here are some samples of GCF of Fractions calculations.
1. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
2. What is the GCF of Fractions for 855/17, 635/7326?
Answer: GCF of Numerators as per given numbers 855/17, 635/7326 is
GCF of Numerators i.e. for 855,635 is 5
LCM of denominators i.e. for 17,7326 is 124542.
Thus, GCF of Fractions is 5/124542.Finally, GCF of Fractions for 855/17, 635/7326 is 5/124542.